K ℓ3 decays in chiral perturbation theory

The $K^+ \to \pi^0 \pi^0 e^+ \nu$ ($K_{e4}^{00}$) decay has been measured with stopped positive kaons for a data sample of 216 events. A comparison of the observed spectra with a Monte Carlo simulation determined the $K_{e4}^{00}$ form factor. The results are compatible with the $K^+ \to \pi^+ \pi^- e^+ \nu$ data, as estimated from the $\Delta I=1/2$ rule. We also established that the $K_{e4}^{00}$ channel can be used to determine the $\pi$-$\pi$ scattering lengths.

Measurement of K+ ---> pi0 pi0 e+ nu (K00(E4)) decay using stopped positive kaons

Measurement of K+→π0μ+νγ decay using stopped kaons

In the framework of scalar-vector dominance we calculate the hadronic matrix elements of scalar and tensor effective quark currents induced by virtual leptoquark interactions. Combined bounds on the product of couplings and leptoquark masses are obtained from experimental data.

Contributions of leptoquark interactions into the tensor and scalar form-factors of K+ ---> pi0 l+ nu(l) decay

Chiral perturbation theory beyond one loop

The form factors of the decay K+ → π0e+νe (Ke3) have been determined from the comparison of the experimental and Monte Carlo Dalitz distributions containing about 105Ke3 events. The following values of the parameters were obtained: λ+=0.0278±0.0017 (stat.)±0.0015 (syst.), |fS/f+(0)|=0.0040±0.0160 (stat.)±0.0067 (syst.), and |fT/f+(0)|=0.019±0.080 (stat.)±0.038 (syst.). Both scalar fS and tensor fT form factors are consistent with the Standard Model predictions of zero values.

http://cds.cern.ch/record/526695/files/0111048.pdf

Test of exotic scalar and tensor interactions in K e3 decay using stopped positive kaons

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Test of exotic scalar and tensor interactions in K e3 decay using stopped positive kaons